Elementary Functional Analysis

Swartz (New Mexico State U.) presents a textbook for an introductory course in functional analysis for students who have completed a first year course in real analysis. He assumes they have no background in Lebesgue integration, and admits that this limits applications to problems in concrete function spaces, but notes that there are enough such problems to demonstrate results at considerable length. His topics include quotient spaces, the uniform boundedness principle, projections, the Fredholm alternative, symmetric linear operators, sesquilinear functional, and an operational calculus. Annotation c2011 Book News, Inc., Portland, OR (booknews.com)